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An infinite class of identities

Published online by Cambridge University Press:  17 April 2009

Ayşe Alaca ,
Şaban Alaca  and
Kenneth S. Williams
Ayşe Alaca
Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, CanadaK1S 5B5, e-mail: aalaca@math.carleton.ca, salaca@math.carleton.ca, kwilliam@connect.carleton.ca
Şaban Alaca
Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, CanadaK1S 5B5, e-mail: aalaca@math.carleton.ca, salaca@math.carleton.ca, kwilliam@connect.carleton.ca
Kenneth S. Williams
Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, Ontario, CanadaK1S 5B5, e-mail: aalaca@math.carleton.ca, salaca@math.carleton.ca, kwilliam@connect.carleton.ca
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An infinite class of identities relating infinite products is proved. It is shown that this class contains a famous identity of Jacobi.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 239 - 246
Copyright
Copyright © Australian Mathematical Society 2007

References

[1]Alaca, A., Alaca, Ş. and Williams, K.S., ‘Evaluation of the convolution sums and ’, Adv. Theoretical Appl. Math. 1 (2006), 27–48.Google Scholar
[2]Jacobi, C.G.J., ‘Fundamenta nova theoriae functionum ellipticarum (1829)’, in C.G.J. Jacobi's Gesammelte Werke, Volume I (Chelsea Publ, Co., New York, 1969), pp. 49–239.Google Scholar